{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Bayesian Inference\n",
    "\n",
    "## Updating probabilities based on new information"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Numpy and pandas for data manipulation\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "\n",
    "# Matplotlib for visualization\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib\n",
    "%matplotlib inline\n",
    "\n",
    "\n",
    "from IPython.core.pylabtools import figsize\n",
    "\n",
    "# Plotting styling\n",
    "import json\n",
    "s = json.load(open('../style/bmh_matplotlibrc.json'))\n",
    "matplotlib.rcParams.update(s)\n",
    "matplotlib.rcParams['figure.figsize'] = (10, 3)\n",
    "matplotlib.rcParams['font.size'] = 14\n",
    "matplotlib.rcParams['ytick.major.size'] = 20"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Logistic Parameters from Markov Chain Monte Carlo Notebook\n",
    "alpha = 0.977400\n",
    "beta = -0.067270"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# likelihoods\n",
    "\n",
    "# P(light | sleep)\n",
    "light_sleep = 0.01\n",
    "\n",
    "# P(-light | sleep)\n",
    "nolight_sleep = 0.99\n",
    "\n",
    "# P(light | -sleep)\n",
    "light_nosleep = 0.8\n",
    "\n",
    "# P(-light | -sleep)\n",
    "nolight_nosleep = 0.2\n",
    "\n",
    "# P(phone | sleep) \n",
    "phone_sleep = 0.95\n",
    "\n",
    "# P(-phone | sleep)\n",
    "nophone_sleep = 0.05\n",
    "\n",
    "# P(phone | -sleep)\n",
    "phone_nosleep = 0.25\n",
    "\n",
    "# P(-phone | -sleep)\n",
    "nophone_nosleep = 0.75"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "def calculate_prior(time, alpha, beta):\n",
    "    p = 1.0 / (1.0 + np.exp(np.dot(beta, time) + alpha))\n",
    "    return p"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1ceda3334a8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Data formatted in different notebook\n",
    "sleep_data = pd.read_csv('../markov_chain_monte_carlo/data/sleep_data.csv')\n",
    "\n",
    "# Labels for plotting\n",
    "sleep_labels = ['9:00', '9:30', '10:00', '10:30', '11:00', '11:30', '12:00']\n",
    "\n",
    "figsize(16, 6)\n",
    "\n",
    "# Sleep data\n",
    "plt.scatter(sleep_data['time_offset'], sleep_data['indicator'], \n",
    "            s= 60, alpha=0.01, facecolor = 'b', edgecolors='b')\n",
    "plt.yticks([0, 1], ['Awake', 'Asleep']); plt.xlabel('PM Time'); \n",
    "plt.title('Falling Asleep Data', size = 18)\n",
    "plt.xticks([-60, -30, 0, 30, 60, 90, 120], sleep_labels);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Sort the values by time offset\n",
    "sleep_data.sort_values('time_offset', inplace=True)\n",
    "\n",
    "# Time is the time offset\n",
    "time = np.array(sleep_data.loc[:, 'time_offset'])\n",
    "\n",
    "# Observations are the indicator\n",
    "sleep_obs = np.array(sleep_data.loc[:, 'indicator'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Time values for probability prediction\n",
    "time_est = np.linspace(time.min()- 5, time.max() + 5, 1e3)[:, None]\n",
    "\n",
    "# Probability at each time using mean values of alpha and beta\n",
    "sleep_est = calculate_prior(time_est, alpha, beta)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Prior Distribution of Sleep as a Function of Time"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1ced63ab6a0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "figsize(16, 6)\n",
    "\n",
    "plt.plot(time_est, sleep_est, color = 'navy', \n",
    "         lw=4, label=\"Model\")\n",
    "plt.scatter(time, sleep_obs, edgecolor = 'slateblue',\n",
    "            s=50, alpha=0.2, label='Observations')\n",
    "plt.title('Prior Probability Distribution for Sleep as Function of Time');\n",
    "plt.legend(prop={'size':18})\n",
    "plt.ylabel('Probability')\n",
    "plt.xlabel('PM Time');\n",
    "plt.xticks([-60, -30, 0, 30, 60, 90, 120], sleep_labels);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The probability of sleep increases to above 50% at 10:14 PM.\n",
      "\n",
      "9:30  PM probability of being asleep: 4.76%.\n",
      "10:00 PM probability of being asleep: 27.34%.\n",
      "10:30 PM probability of being asleep: 73.90%.\n"
     ]
    }
   ],
   "source": [
    "print('The probability of sleep increases to above 50% at 10:{} PM.\\n'.format(int(time_est[np.where(sleep_est > 0.5)[0][0]][0])))\n",
    "\n",
    "print('9:30  PM probability of being asleep: {:.2f}%.'.\n",
    "      format(100 * calculate_prior(-30, alpha, beta)))\n",
    "print('10:00 PM probability of being asleep: {:.2f}%.'.\n",
    "      format(100 * calculate_prior(0, alpha, beta)))\n",
    "print('10:30 PM probability of being asleep: {:.2f}%.'.\n",
    "      format(100 * calculate_prior(30, alpha, beta)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Updated Probability with Light Data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "def update_probability(time_offset, light):\n",
    "    # Calculate the prior for the time\n",
    "    prior_probability = calculate_prior(time_offset, alpha, beta)\n",
    "    \n",
    "    # Account for evidence\n",
    "    if light == 0:\n",
    "        likelihood = nolight_sleep\n",
    "        non_likelihood = nolight_nosleep\n",
    "    elif light == 1:\n",
    "        likelihood = light_sleep\n",
    "        non_likelihood = light_nosleep\n",
    "        \n",
    "    numerator = likelihood * prior_probability\n",
    "    denominator = (likelihood * prior_probability) + (non_likelihood * (1 - prior_probability))\n",
    "    \n",
    "    conditional_probability = numerator / denominator\n",
    "    \n",
    "    \n",
    "    if type(time_offset) == int:\n",
    "        time = pd.datetime(2017, 1, 1, 10, 0, 0)\n",
    "        new_time = str((time + pd.DateOffset(minutes = time_offset)).time())\n",
    "        if light == 0:\n",
    "            print('Time: {} PM \\tLight is OFF.'.format(new_time))\n",
    "        elif light == 1:\n",
    "            print('Time: {} PM \\tLight is ON.'.format(new_time))\n",
    "    \n",
    "        print('\\nThe prior probability of sleep:    {:.2f}%'.format(100 * prior_probability))\n",
    "        print('The updated probability of sleep:  {:.2f}%'.format(100 * conditional_probability))\n",
    "    \n",
    "    return conditional_probability"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Time: 10:30:00 PM \tLight is ON.\n",
      "\n",
      "The prior probability of sleep:    73.90%\n",
      "The updated probability of sleep:  3.42%\n"
     ]
    }
   ],
   "source": [
    "result = update_probability(time_offset = 30, light = 1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Time: 09:30:00 PM \tLight is OFF.\n",
      "\n",
      "The prior probability of sleep:    4.76%\n",
      "The updated probability of sleep:  19.84%\n"
     ]
    }
   ],
   "source": [
    "result = update_probability(time_offset = -30, light = 0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Time: 09:45:00 PM \tLight is OFF.\n",
      "\n",
      "The prior probability of sleep:    12.06%\n",
      "The updated probability of sleep:  40.44%\n"
     ]
    }
   ],
   "source": [
    "results = update_probability(time_offset = -15, light = 0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "light_on_prob = update_probability(time_est, light = 1)\n",
    "light_off_prob = update_probability(time_est, light = 0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Visualize Probability with light"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1ceda8c7240>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "figsize(18, 8)\n",
    "\n",
    "plt.plot(time_est, sleep_est, color = 'black', \n",
    "         lw=3, linestyle = '--', label=\"Prior Probability\")\n",
    "plt.plot(time_est, light_on_prob, color = 'darkred',\n",
    "          lw = 5, label = 'Light On Probability')\n",
    "plt.plot(time_est, light_off_prob, color = 'darkgreen',\n",
    "           lw = 5, label = 'Light Off Probability')\n",
    "plt.scatter(time, sleep_obs, edgecolor = 'slateblue',\n",
    "            s=50, alpha=0.2, label='Observations')\n",
    "plt.title('Updated Probability Distribution for Sleep');\n",
    "plt.legend(prop={'size':18}, loc=2)\n",
    "plt.ylabel('Probability')\n",
    "plt.xlabel('PM Time');\n",
    "plt.xticks([-60, -30, 0, 30, 60, 90, 120], sleep_labels);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Light and Phone Charging Information"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "def add_update_probability(time_offset, light, phone):\n",
    "    # Calculate the prior for the time\n",
    "    prior_probability = calculate_prior(time_offset, alpha, beta)\n",
    "    \n",
    "    # Account for evidence\n",
    "    if light == 0:\n",
    "        l_likelihood = nolight_sleep\n",
    "        l_non_likelihood = nolight_nosleep\n",
    "        l_status = 'OFF'\n",
    "    \n",
    "    elif light == 1:\n",
    "        l_likelihood = light_sleep\n",
    "        l_non_likelihood = light_nosleep\n",
    "        l_status= 'ON'\n",
    "        \n",
    "    if phone == 0:\n",
    "        p_likelihood = nophone_sleep\n",
    "        p_non_likelihood = nophone_nosleep\n",
    "        p_status = 'NOT charging'\n",
    "    \n",
    "    elif phone == 1:\n",
    "        p_likelihood = phone_sleep\n",
    "        p_non_likelihood = phone_nosleep\n",
    "        p_status = 'charging'\n",
    "    \n",
    "    numerator = l_likelihood * p_likelihood * prior_probability\n",
    "    denominator = (l_likelihood * p_likelihood * prior_probability) + (l_non_likelihood * p_non_likelihood * (1 - prior_probability))\n",
    "    \n",
    "    conditional_probability = numerator / denominator\n",
    "    \n",
    "    if type(time_offset) == int:\n",
    "        time = pd.datetime(2017, 1, 1, 10, 0, 0)\n",
    "        new_time = str((time + pd.DateOffset(minutes = time_offset)).time())\n",
    "        \n",
    "        print('Time is {} PM \\tLight is {} \\tPhone IS {}.'.format(\n",
    "                new_time, l_status, p_status))\n",
    "        \n",
    "        print('\\nThe prior probability of sleep:    {:.2f}%'.format(100 * prior_probability))\n",
    "        print('The updated probability of sleep:  {:.2f}%'.format(100 * conditional_probability))\n",
    "    \n",
    "    return conditional_probability"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Time is 09:45:00 PM \tLight is ON \tPhone IS charging.\n",
      "\n",
      "The prior probability of sleep:    12.06%\n",
      "The updated probability of sleep:  0.65%\n"
     ]
    }
   ],
   "source": [
    "result = add_update_probability(-15, 1, 1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Time is 09:45:00 PM \tLight is ON \tPhone IS NOT charging.\n",
      "\n",
      "The prior probability of sleep:    12.06%\n",
      "The updated probability of sleep:  0.01%\n"
     ]
    }
   ],
   "source": [
    "result = add_update_probability(-15, 1, 0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Time is 11:00:00 PM \tLight is ON \tPhone IS NOT charging.\n",
      "\n",
      "The prior probability of sleep:    95.52%\n",
      "The updated probability of sleep:  1.74%\n"
     ]
    }
   ],
   "source": [
    "result = add_update_probability(60, 1, 0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Time is 10:15:00 PM \tLight is OFF \tPhone IS charging.\n",
      "\n",
      "The prior probability of sleep:    50.79%\n",
      "The updated probability of sleep:  95.10%\n"
     ]
    }
   ],
   "source": [
    "result = add_update_probability(15, 0, 1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Time is 10:30:00 PM \tLight is ON \tPhone IS NOT charging.\n",
      "\n",
      "The prior probability of sleep:    73.90%\n",
      "The updated probability of sleep:  0.24%\n"
     ]
    }
   ],
   "source": [
    "result = add_update_probability(30, 1, 0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Time is 10:30:00 PM \tLight is OFF \tPhone IS NOT charging.\n",
      "\n",
      "The prior probability of sleep:    73.90%\n",
      "The updated probability of sleep:  48.30%\n"
     ]
    }
   ],
   "source": [
    "result = add_update_probability(30, 0, 0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Time is 10:30:00 PM \tLight is OFF \tPhone IS charging.\n",
      "\n",
      "The prior probability of sleep:    73.90%\n",
      "The updated probability of sleep:  98.16%\n"
     ]
    }
   ],
   "source": [
    "result = add_update_probability(30, 0, 1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "time_est = np.linspace(time.min()- 15, time.max() + 30, 1e3)[:, None]\n",
    "sleep_labels.append('00:30')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "light_phone = add_update_probability(time_est, 1, 1)\n",
    "nolight_phone = add_update_probability(time_est, 0, 1)\n",
    "light_nophone = add_update_probability(time_est, 1, 0)\n",
    "nolight_nophone = add_update_probability(time_est, 0, 0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Visualize Probability Distribution with both light and phone"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1ceda8cb940>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "figsize(18, 8)\n",
    "\n",
    "plt.plot(time_est, sleep_est, color = 'black', \n",
    "         lw=3, linestyle = '--', label=\"Prior Probability\")\n",
    "plt.plot(time_est, light_phone, color = 'orange', lw = 4, \n",
    "         label = 'Light ON Phone Charging')\n",
    "plt.plot(time_est, nolight_phone, color = 'darkmagenta', lw = 4,\n",
    "         label = 'Light OFF Phone Charging')\n",
    "plt.plot(time_est, light_nophone, color = 'brown', lw= 4,\n",
    "         label = 'Light ON Phone NOT Charging')\n",
    "plt.plot(time_est, nolight_nophone, color = 'darkblue', lw = 4,\n",
    "         label = 'Light OFF Phone NOT Charging')\n",
    "plt.scatter(time, sleep_obs, edgecolor = 'slateblue',\n",
    "            s=50, alpha=0.2)\n",
    "plt.legend(loc=2); plt.xlabel('Time'); plt.ylabel('Probability')\n",
    "plt.title('Probability of Sleep with Light and Phone');\n",
    "plt.xticks([-60, -30, 0, 30, 60, 90, 120, 150], sleep_labels);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
